Search a number
-
+
2132130302784 = 26333189447217
BaseRepresentation
bin11111000001101100110…
…111101000101101000000
321112211101211022200122000
4133001230313220231000
5234413100324142114
64311253115544000
7310020114355506
oct37015467505500
97484354280560
102132130302784
1175225aa75a29
122a527a15b000
1312609c8a67a1
14752a4c52676
153a6dcd91e09
hex1f06cde8b40

2132130302784 has 224 divisors, whose sum is σ = 6542978227200. Its totient is φ = 680054538240.

The previous prime is 2132130302777. The next prime is 2132130302801. The reversal of 2132130302784 is 4872030312312.

2132130302784 is a `hidden beast` number, since 2 + 1 + 321 + 30 + 30 + 278 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4543944 + ... + 4991160.

Almost surely, 22132130302784 is an apocalyptic number.

2132130302784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132130302784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271489113600).

2132130302784 is an abundant number, since it is smaller than the sum of its proper divisors (4410847924416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132130302784 is a wasteful number, since it uses less digits than its factorization.

2132130302784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447358 (or 447342 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2132130302784 in words is "two trillion, one hundred thirty-two billion, one hundred thirty million, three hundred two thousand, seven hundred eighty-four".